Question Summary:
Can someone do Umrah for another person who is still alive?

Question Detail:

Can someone do Umrah for another person who is still alive?

Answer :

In the Name of Allah, the Most Gracious, the Most Merciful.
As-salāmu ‘alaykum wa-rahmatullāhi wa-barakātuh.
It is permissible to do umrah on behalf of someone who is alive.[1]
And Allah Ta’āla Knows Best
Hisham Dawood
Student Darul Iftaa
Chicago, USA 
Checked and Approved by,
Mufti Ebrahim Desai.
Daruliftaa.net